Hi

Assume you meant:  

2r - s = 10   Or  

rs - s^2 = 12

 |Multiplying thru by 2 so as all denominators = 1

   (s+10)s - 2s^2 = 24

    s^2 + 10s - 2s^2 = 24

      10s - s^2 = 24

     s^2 - 10s + 24 = 0

factoring

   (s-6)(s-4) = 0

    (s-6) = 0  ,  s = 6  and r = 8

  0r (s-4) = 0 ,  s = 4  and r = 7 

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